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A three dimensional ball quotient
Authors:Eberhard Freitag  Riccardo Salvati Manni
Institution:1. Mathematisches Institut, Im Neuenheimer Feld 288, 69120, Heidelberg, Germany
2. Dipartimento di Matematica, Piazzale Aldo Moro, 2, 00185, Rome, Italy
Abstract:In this paper we determine a very particular example of a Picard modular variety of general type. On its non-singular models there exist many holomorphic differential forms. In a forthcoming paper we will show that one can construct Calabi–Yau manifolds by considering quotients of this variety and resolving singularities.
Keywords:
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